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Finding the Fourth Proportional to 18,605.20, 27,914.64 and 8,614.75

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Solution

The fourth proportional to 18,605.20, 27,914.64 and 8,614.75 is: 12,925.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,605.20 : 27,914.64 = 8,614.75 : x
  2. Step 2: Convert to fraction form
    18,605.20/27,914.64 = 8,614.75/x
  3. Step 3: Cross multiply
    18,605.20x = 27,914.64 × 8,614.75
  4. Step 4: Simplify right side
    18,605.20x = 240,477,644.94
  5. Step 5: Solve for x
    x = 240,477,644.94/18,605.20
  6. Step 6: Final answer
    x = 12,925.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.